Theorems · Definition · convex and discrete geometry
ConvexBody.carrier
{V : Type u_2} → [inst : TopologicalSpace V] → [inst_1 : AddCommMonoid V] → [inst_2 : SMul ℝ V] → ConvexBody V → Set VThe carrier set underlying a convex body: the set of points contained in it
- Defined in
- Mathlib.Analysis.Convex.Body
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- ConvexBodystatement and proof · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- ConvexBody.isCompact'statement · cited by 1
- ConvexBody.nonempty'statement · cited by 1
- ConvexBody.convex'statement · cited by 1